Converse of Pythagorean Theorem

Given the sides of a triangle as a=3, b=4, and c=5, determine if the triangle is a right-angled triangle using the converse of Pythagorean theorem.

• Not sure

• Maybe

• No

• Yes

Tags

CCSS.HSG.SRT.B.4

If the sides of a triangle are a=5, b=12, and c=13, use the Pythagorean theorem to check if the triangle is a right-angled triangle.

• No, the triangle is an equilateral triangle.

• Yes, the triangle is a right-angled triangle.

• No, the triangle is an obtuse-angled triangle.

• No, the triangle is an isosceles triangle.

Tags

CCSS.8.G.B.8

Find the missing side of a right-angled triangle with legs of length 6 and 8 using the Pythagorean theorem.

• 5

• 12

• 10

• 14

Tags

CCSS.8.G.B.7

Determine if a triangle with sides a=7, b=24, and c=25 is a right-angled triangle using the converse of Pythagorean theorem.

• Yes

• Maybe

• No

• Not sure

Tags

CCSS.8.G.B.8

Calculate the length of the hypotenuse in a right-angled triangle with legs of length 9 and 12 using the Pythagorean theorem.

• 20

• 10

• 25

• 15

Tags

CCSS.8.G.B.8

Verify if a triangle with sides a=8, b=15, and c=17 is a right-angled triangle using the converse of Pythagorean theorem.

• No

• Maybe

• Not sure

• Yes

Tags

CCSS.8.G.B.8

Find the length of one leg in a right-angled triangle with hypotenuse of length 10 and the other leg of length 6 using the Pythagorean theorem.

• 8

• 12

• 4

• 3

Tags

CCSS.8.G.B.7

Check if a triangle with sides a=20, b=21, and c=29 is a right-angled triangle using the converse of Pythagorean theorem.

• No

• Not sure

• Maybe

• Yes

Tags

CCSS.HSG.SRT.C.8

Calculate the missing side of a right-angled triangle with one leg of length 5 and hypotenuse of length 13 using the Pythagorean theorem.

• 7

• 12

• 15

• 10

Tags

CCSS.HSG.SRT.C.8

Determine if a triangle with sides a=11, b=60, and c=61 is a right-angled triangle using the converse of Pythagorean theorem.

• Maybe

• No

• Yes

• Not sure

Tags

CCSS.8.G.B.8